# Surface Area of a Prism

## What is a Prism?

A prism is a geometric object with three dimensions, with flat faces, and straight sides. It has flat faces and straight edges because it is a polyhedron.

A prism's bottom, that's a polygon, and its sides, which are parallelograms, represent its defining characteristics. As they soar from the base of the prism, the sides of the prism are perpendicular to that point.

Prisms are available in an array of shapes, like hexagonal, rectangular, and triangular ones. What is the type of prism depends on how many sides there are in the base polygon. As an example, a hexagonal prism has a base that is a hexagon, while a triangular prism has a base that is a triangle.

Prisms are very significant in mathematics and geometry because of their usefulness. They are used to model and perceive three-dimensional shapes and the relationships between their dimensions. In order to plan and develop buildings and other structures, they are also used in engineering and architecture.

A prism's surface area is the sum of the areas of all of its faces, and its volume is the amount of interior space. The prism's shape and dimensions influence the formulas used to calculate its surface area and volume.

## Surface Area of a Prism

A prism's surface area can be found by summing the areas of all of its faces. You need to know the prism's dimensions and base shape to calculate its surface area. The following formula can be used to find out the surface area of a prism:

Surface area = 2B + Ph

In this equation, B is the prism's base area, P is the base's perimeter, and h stands for the height of the prism. As an example, take a rectangular prism with the dimensions l, w, and h. The prism's surface area would be as follows:

Surface area = 2(lw) + 2(lh) + 2(wh)

You can use this formula to find the surface area of any prism, as long as you know the prism’s dimensions and its base shape. It is important to understand that a prism's surface area does not include the area of its lateral faces (the faces that are not the base). The volume of the prism includes the lateral faces, but the surface area does not.